An Efficient Schulz-type Method to Compute the Moore-Penrose Inverse
محورهای موضوعی : مجله بین المللی ریاضیات صنعتیH. Esmaeili 1 , R. Erfanifar 2 , M. Rashidi 3
1 - Department of Mathematics, Bu-Ali Sina University, Hamedan, Iran.
2 - Department of Mathematics, Malayer University, Malayer, Iran.
3 - Department of Mathematics, Bu-Ali Sina University, Hamedan, Iran.
کلید واژه: Moore-Penrose inverse, Iterative method, Schulz-type method, Matrix multiplication, Fourth-order convergence,
چکیده مقاله :
A new Schulz-type method to compute the Moore-Penrose inverse of a matrix is proposed. Every iteration of the method involves four matrix multiplications. It is proved that this method converge with fourth-order. A wide set of numerical comparisons shows that the average number of matrix multiplications and the average CPU time of our method are considerably less than those of other methods.
